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We explore the use of Physics Informed Neural Networks to analyse nonlinear Hamiltonian Dynamical Systems with a first integral of motion. In this work, we propose an architecture which combines existing Hamiltonian Neural Network…

机器学习 · 计算机科学 2023-08-09 Vedanta Thapar

Recent years have witnessed the great success of deep neural networks in many research areas. The fundamental idea behind the design of most neural networks is to learn similarity patterns from data for prediction and inference, which lacks…

人工智能 · 计算机科学 2019-10-22 Shaoyun Shi , Hanxiong Chen , Min Zhang , Yongfeng Zhang

Knowledge tracing---where a machine models the knowledge of a student as they interact with coursework---is a well established problem in computer supported education. Though effectively modeling student knowledge would have high…

Physics-inspired neural networks (NNs), such as Hamiltonian or Lagrangian NNs, dramatically outperform other learned dynamics models by leveraging strong inductive biases. These models, however, are challenging to apply to many real world…

机器学习 · 计算机科学 2022-02-15 Nate Gruver , Marc Finzi , Samuel Stanton , Andrew Gordon Wilson

Recent advancements in legged robots using deep reinforcement learning have led to significant progress. Quadruped robots can perform complex tasks in challenging environments, while bipedal and humanoid robots have also achieved…

机器人学 · 计算机科学 2024-09-17 Xiaoyang Jiang , Qiang Zhang , Jingkai Sun , Jiahang Cao , Jingtong Ma , Renjing Xu

Deep neural networks (DNN) have achieved unprecedented performance in computer-vision tasks almost ubiquitously in business, technology, and science. While substantial efforts are made to engineer highly accurate architectures and provide…

图像与视频处理 · 电气工程与系统科学 2022-09-08 Sumedha Singla

The use of machine learning in the self-driving industry has boosted a number of recent advancements. In particular, the usage of large deep learning models in the perception and prediction stack have proved quite successful, but there…

机器人学 · 计算机科学 2022-05-11 Johnathan Chiu

This paper presents Mechanistic Neural Networks, a neural network design for machine learning applications in the sciences. It incorporates a new Mechanistic Block in standard architectures to explicitly learn governing differential…

机器学习 · 计算机科学 2024-02-21 Adeel Pervez , Francesco Locatello , Efstratios Gavves

interpretable, and well understood models that are routinely employed even though, as is revealed through prior and posterior predictive checks, these can poorly characterise the spatial heterogeneity in the underlying process of interest.…

Agent-based Transformers have been widely adopted in recent reinforcement learning advances due to their demonstrated ability to solve complex tasks. However, the high computational complexity of Transformers often results in significant…

机器学习 · 计算机科学 2025-05-21 Mohammad Irfan Uddin , Nishad Tasnim , Md Omor Faruk , Zejian Zhou

This paper introduces Graph Convolutional Recurrent Network (GCRN), a deep learning model able to predict structured sequences of data. Precisely, GCRN is a generalization of classical recurrent neural networks (RNN) to data structured by…

机器学习 · 统计学 2016-12-23 Youngjoo Seo , Michaël Defferrard , Pierre Vandergheynst , Xavier Bresson

Dynamical systems theory and complexity science provide powerful tools for analysing artificial agents and robots. Furthermore, they have been recently proposed also as a source of design principles and guidelines. Boolean networks are a…

人工智能 · 计算机科学 2015-03-18 Andrea Roli , Mattia Manfroni , Carlo Pinciroli , Mauro Birattari

Simulating particle dynamics with high fidelity is crucial for solving real-world interaction and control tasks involving liquids in design, graphics, and robotics. Recently, data-driven approaches, particularly those based on graph neural…

机器学习 · 计算机科学 2025-12-01 Niteesh Midlagajni , Constantin A. Rothkopf

Management and efficient operations in critical infrastructure such as Smart Grids take huge advantage of accurate power load forecasting which, due to its nonlinear nature, remains a challenging task. Recently, deep learning has emerged in…

机器学习 · 计算机科学 2019-07-23 Alberto Gasparin , Slobodan Lukovic , Cesare Alippi

This paper introduces a network architecture, called dynoNet, utilizing linear dynamical operators as elementary building blocks. Owing to the dynamical nature of these blocks, dynoNet networks are tailored for sequence modeling and system…

机器学习 · 计算机科学 2021-04-21 Marco Forgione , Dario Piga

The vast majority of systems of practical interest are characterised by nonlinear dynamics. This renders the control and optimization of such systems a complex task due to their nonlinear behaviour. Additionally, standard methods such as…

系统与控制 · 电气工程与系统科学 2022-04-05 Akhil Ahmed , Ehecatl Antonio del Rio-Chanona , Mehmet Mercangoz

Neural networks have become the standard model for various computer vision tasks in automated driving including semantic segmentation, moving object detection, depth estimation, visual odometry, etc. The main flavors of neural networks…

神经与进化计算 · 计算机科学 2019-03-07 Sambit Mohapatra , Heinrich Gotzig , Senthil Yogamani , Stefan Milz , Raoul Zollner

In the last decade, Convolutional Neural Network with a multi-layer architecture has advanced rapidly. However, training its complex network is very space-consuming, since a lot of intermediate data are preserved across layers, especially…

分布式、并行与集群计算 · 计算机科学 2024-01-23 Zhigang Wang , Hangyu Yang , Ning Wang , Chuanfei Xu , Jie Nie , Zhiqiang Wei , Yu Gu , Ge Yu

Simulating complex dynamics like fluids with traditional simulators is computationally challenging. Deep learning models have been proposed as an efficient alternative, extending or replacing parts of traditional simulators. We investigate…

机器学习 · 计算机科学 2022-03-16 Jonathan Klimesch , Philipp Holl , Nils Thuerey

Recurrent neural networks are a powerful means to cope with time series. We show how autoregressive linear, i.e., linearly activated recurrent neural networks (LRNNs) can approximate any time-dependent function f(t). The approximation can…

机器学习 · 计算机科学 2025-10-01 Frieder Stolzenburg , Sandra Litz , Olivia Michael , Oliver Obst
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